If H and K are subgroups of finite index of a group G such that [G: H]
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If H and K are subgroups of finite index of a group G such that [G: H] and [G: K] are relatively prime, then G = HK.
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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